150 citations · 663 across the 47 of their papers we have counts for
7 papers · 1 filter
On moments of twisted -functions
Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski +2
We study the average of the product of the central values of two -functions of modular forms and twisted by Dirichlet characters to a large prime modulus . As our pri…
Kloosterman sums in residue classes
Valentin Blomer, Djordje Milićević
We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithme…
Applications of the Kuznetsov formula on GL(3): the level aspect
Valentin Blomer, Jack Buttcane, Péter Maga
We develop an explicit Kuznetsov formula on GL(3) for congruence subgroups. Applications include a Lindelof on average type bound for the sixth moment of GL(3) L-functions in the l…
Subconvexity for sup-norms of automorphic forms on PGL(n)
Valentin Blomer, Péter Maga
We prove the subconvexity conjecture for sup-norms of automorphic forms for congruence subgroups of SL(n, Z) that satisfy the Ramanujan conjecture at infinity.
The sup-norm problem for PGL(4)
Valentin Blomer, Péter Maga
Let F be a Hecke-Maass cusp form for the group SL(4, Z) with Laplace eigenvalue lambda. Assume that F satisfies the Ramanujan conjecture at infinity (this is satisfied by almost al…
Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations
Valentin Blomer, Jörg Brüdern
A method is described to sum multi-dimensional arithmetic functions subject to hyperbolic summation conditions, provided that asymptotic formulae in rectangular boxes are available…